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Finding the Fourth Proportional to 171.37, 236.47 and 97.66

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Solution

The fourth proportional to 171.37, 236.47 and 97.66 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.37 : 236.47 = 97.66 : x
  2. Step 2: Convert to fraction form
    171.37/236.47 = 97.66/x
  3. Step 3: Cross multiply
    171.37x = 236.47 × 97.66
  4. Step 4: Simplify right side
    171.37x = 23,094.56
  5. Step 5: Solve for x
    x = 23,094.56/171.37
  6. Step 6: Final answer
    x = 134.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.